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Finding the Fourth Proportional to 203.58, 280.92 and 129.92

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Solution

The fourth proportional to 203.58, 280.92 and 129.92 is: 179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.58 : 280.92 = 129.92 : x
  2. Step 2: Convert to fraction form
    203.58/280.92 = 129.92/x
  3. Step 3: Cross multiply
    203.58x = 280.92 × 129.92
  4. Step 4: Simplify right side
    203.58x = 36,496.21
  5. Step 5: Solve for x
    x = 36,496.21/203.58
  6. Step 6: Final answer
    x = 179.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.